skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials

Abstract

A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the one-particle density of states. Here, we show that scale-free correlations in the random potential suppress the disorder induced Bose-Einstein condensation (BEC). Within a tight-binding approach, we consider free Bosons moving in a scale-free correlated random potential with spectral density decaying as 1/k{sup {alpha}}. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential ({alpha}>1). On the other hand, a weaker suppression of BEC takes place in nonbinarized scale-free potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent {alpha}{yields}{infinity}.

Authors:
; ;  [1]
  1. Instituto de Fisica, Universidade Federal de Alagoas, 57072-970 Maceio, AL (Brazil)
Publication Date:
OSTI Identifier:
21502867
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 82; Journal Issue: 17; Other Information: DOI: 10.1103/PhysRevB.82.172201; (c) 2010 The American Physical Society; Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; BOSE-EINSTEIN GAS; BOSONS; CHAINS; CONDENSATES; CORRELATIONS; CRITICAL TEMPERATURE; DENSITY; ONE-DIMENSIONAL CALCULATIONS; PARTICLES; RANDOMNESS; SPECTRAL DENSITY; FUNCTIONS; PHYSICAL PROPERTIES; SPECTRAL FUNCTIONS; THERMODYNAMIC PROPERTIES; TRANSITION TEMPERATURE

Citation Formats

Oliveira, I N. de, Moura, F. A. B. F. de, Caetano, R A, and Lyra, M L. Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials. United States: N. p., 2010. Web. doi:10.1103/PHYSREVB.82.172201.
Oliveira, I N. de, Moura, F. A. B. F. de, Caetano, R A, & Lyra, M L. Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials. United States. https://doi.org/10.1103/PHYSREVB.82.172201
Oliveira, I N. de, Moura, F. A. B. F. de, Caetano, R A, and Lyra, M L. Mon . "Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials". United States. https://doi.org/10.1103/PHYSREVB.82.172201.
@article{osti_21502867,
title = {Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials},
author = {Oliveira, I N. de and Moura, F. A. B. F. de and Caetano, R A and Lyra, M L},
abstractNote = {A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the one-particle density of states. Here, we show that scale-free correlations in the random potential suppress the disorder induced Bose-Einstein condensation (BEC). Within a tight-binding approach, we consider free Bosons moving in a scale-free correlated random potential with spectral density decaying as 1/k{sup {alpha}}. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential ({alpha}>1). On the other hand, a weaker suppression of BEC takes place in nonbinarized scale-free potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent {alpha}{yields}{infinity}.},
doi = {10.1103/PHYSREVB.82.172201},
url = {https://www.osti.gov/biblio/21502867}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 17,
volume = 82,
place = {United States},
year = {2010},
month = {11}
}